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Simplifying
(5xy2 + -8y)(5xy2 + 8y) = 0
Multiply (5xy2 + -8y) * (5xy2 + 8y)
(5xy2 * (5xy2 + 8y) + -8y * (5xy2 + 8y)) = 0
((5xy2 * 5xy2 + 8y * 5xy2) + -8y * (5xy2 + 8y)) = 0
Reorder the terms:
((40xy3 + 25x2y4) + -8y * (5xy2 + 8y)) = 0
((40xy3 + 25x2y4) + -8y * (5xy2 + 8y)) = 0
(40xy3 + 25x2y4 + (5xy2 * -8y + 8y * -8y)) = 0
(40xy3 + 25x2y4 + (-40xy3 + -64y2)) = 0
Reorder the terms:
(40xy3 + -40xy3 + 25x2y4 + -64y2) = 0
Combine like terms: 40xy3 + -40xy3 = 0
(0 + 25x2y4 + -64y2) = 0
(25x2y4 + -64y2) = 0
Solving
25x2y4 + -64y2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '64y2' to each side of the equation.
25x2y4 + -64y2 + 64y2 = 0 + 64y2
Combine like terms: -64y2 + 64y2 = 0
25x2y4 + 0 = 0 + 64y2
25x2y4 = 0 + 64y2
Remove the zero:
25x2y4 = 64y2
Divide each side by '25y4'.
x2 = 2.56y-2
Simplifying
x2 = 2.56y-2
Take the square root of each side:
x = {-1.6y-1, 1.6y-1}
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